What is the Least Common Multiple of 49919 and 49936?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49919 and 49936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49919 and 49936, than apply into the LCM equation.

GCF(49919,49936) = 1
LCM(49919,49936) = ( 49919 × 49936) / 1
LCM(49919,49936) = 2492755184 / 1
LCM(49919,49936) = 2492755184

Least Common Multiple (LCM) of 49919 and 49936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49919 and 49936. First we will calculate the prime factors of 49919 and 49936.

Prime Factorization of 49919

Prime Factorization of 49936

Now multiplying the highest exponent prime factors to calculate the LCM of 49919 and 49936.

LCM(49919,49936) = 49919¹ × 2⁴ × 3121¹
LCM(49919,49936) = 2492755184